Atkin-Lehner |
2- 3- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
55224t |
Isogeny class |
Conductor |
55224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-15459185664 = -1 · 210 · 39 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -3 13- -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,69,-5978] |
[a1,a2,a3,a4,a6] |
Generators |
[83:756:1] |
Generators of the group modulo torsion |
j |
48668/20709 |
j-invariant |
L |
7.4003642220493 |
L(r)(E,1)/r! |
Ω |
0.58226408033035 |
Real period |
R |
1.5887044366947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110448p1 18408f1 |
Quadratic twists by: -4 -3 |